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| Homology Groups of Simplicial Complements |
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Citation： |
Jun MA,Feifei FAN,Xiangjun WANG.Homology Groups of Simplicial Complements[J].Chinese Annals of Mathematics B,2016,37(5):683~690 |
| Page view： 1179
Net amount： 1176 |
Authors： |
Jun MA; Feifei FAN;Xiangjun WANG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11371093, 11261062, 11471167) |
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| Abstract： |
This paper deals with homology groups induced by the exterior
algebra generated by the simplicial compliment of a simplicial
complex $K$. By using \v Cech homology and Alexander duality, the
authors prove that there is a duality between these homology groups
and the simplicial homology groups of $K$. |
Keywords： |
Stanley-Reisner ring, Simplicial complement, Barycentric subdivision, Inflation complex |
Classification： |
13F55, 18G15, 16E05, 55U10 |
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